mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-12-18 09:10:16 +00:00
a9cee1d933
* Add perfect cube binary search algorithm * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Add support for testing negative perfect cubes * Add TypeError check for invalid inputs * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --------- Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
56 lines
1.3 KiB
Python
56 lines
1.3 KiB
Python
def perfect_cube(n: int) -> bool:
|
|
"""
|
|
Check if a number is a perfect cube or not.
|
|
|
|
>>> perfect_cube(27)
|
|
True
|
|
>>> perfect_cube(4)
|
|
False
|
|
"""
|
|
val = n ** (1 / 3)
|
|
return (val * val * val) == n
|
|
|
|
|
|
def perfect_cube_binary_search(n: int) -> bool:
|
|
"""
|
|
Check if a number is a perfect cube or not using binary search.
|
|
Time complexity : O(Log(n))
|
|
Space complexity: O(1)
|
|
|
|
>>> perfect_cube_binary_search(27)
|
|
True
|
|
>>> perfect_cube_binary_search(64)
|
|
True
|
|
>>> perfect_cube_binary_search(4)
|
|
False
|
|
>>> perfect_cube_binary_search("a")
|
|
Traceback (most recent call last):
|
|
...
|
|
TypeError: perfect_cube_binary_search() only accepts integers
|
|
>>> perfect_cube_binary_search(0.1)
|
|
Traceback (most recent call last):
|
|
...
|
|
TypeError: perfect_cube_binary_search() only accepts integers
|
|
"""
|
|
if not isinstance(n, int):
|
|
raise TypeError("perfect_cube_binary_search() only accepts integers")
|
|
if n < 0:
|
|
n = -n
|
|
left = 0
|
|
right = n
|
|
while left <= right:
|
|
mid = left + (right - left) // 2
|
|
if mid * mid * mid == n:
|
|
return True
|
|
elif mid * mid * mid < n:
|
|
left = mid + 1
|
|
else:
|
|
right = mid - 1
|
|
return False
|
|
|
|
|
|
if __name__ == "__main__":
|
|
import doctest
|
|
|
|
doctest.testmod()
|